Probably not.
My current rating is 1878, even though my highest is shown as 1865 in my profile

After a long time, I returned to chess, earned my highest rating, played a cheater twice, and lost both games. Then, I won a game, and the cheater got detected, resulting in a pump on my rating from 1828 to 1878. That does not count as my highest rating. Is this intentional?
Rating refunds won't impact your highest rating stats.
After a long time, I returned to chess, earned my highest rating, played a cheater twice, and lost both games. Then, I won a game, and the cheater got detected, resulting in a pump on my rating from 1828 to 1878. That does not count as my highest rating. Is this intentional?